Time and Work Questions with Detailed Explanation

time and work
Q1. Tulsi and Ram can do a job alone in 20 days and 30 days respectively. In how many days the job will be finished if they work together?
a) 21 days 
b) 12 days
c) 10 days
d) 15 days 
e) None of The Above

Q2. Manish and Sohan can do a job in 12 days. Sohan alone can finish it in 28 days. In how many days can Manish alone finish the work?
a) 20 days
b) 25 days
c) 21 days
d) 23 days
e) None of The Above 

Q3. Hary and Monty can do a piece of work in 10 days and 15 days respectively. They work together for 3 days and then Monty leaves. Hary finishes the remaining work alone. In how many days is the total work finished?
a) 5 days
b) 6 days
c) 8 days
d) 10 days
e) None of The Above

Q4. Abhishek can do a piece of work in 7 days of 9 hours each and Bobby can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 (2/5) hours a day?
a) 1 day
b) 3 days
c) 7 days
d) 5 days
e) None of The Above

Q5. Ankush and Balwinder can do a piece of work in 18 days. Balwinder and Chinky can do it in 24 days. Ankush and Chinky can do it in 36 days. In how many days will Ankush, Balwinder and Chinky finish it, working together and separately?
a) 144 days
b) 405 days
c) 169 days
d) 691 days
e) None of The Above

Q6. Aamer can do a certain job in 12 days. Baasha is 60% more efficient than Aamer. How many days does Baasha alone take to do the same job?
a) 6 (1/2) days
b) 5 (1/2) days
c) 9 (1/2) days
d) 7 (1/2) days
e) None of The Above

Q7. Amrinder is twice as good as workman as Baljinder and together they finish a piece of work in 18 days. In how many days will Amrinder alone finish the work?
a) 29 days 
b) 28 days
c) 27 days
d) 26 days
e) None of The Above

Q8. Andrew and Benford working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately, Andrew beginning, in how many days, the work will be completed?
a) 8 (1/4)
b) 10 (1/4)
c) 11 (1/4)
d) 15 (1/4)
e) None of The Above 


Q9. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?
a) 15 (1/2) days
b) 10 (1/2) days
c) 12 (1/2) days
d) 20 (1/2) days 
e) None of The Above

Q10. Akshay and Birju undertake to do a piece of work for Rs. 600. Akshay alone can do it in 6 days while Birju alone can do it in 8 days. With the help of Chaplin, they finish it in 3 days. Find the share of each.
a) 75
b) 85
c) 95
d) 105 
e) None of The Above

==>> Read Time and Work tricks here

Solution

Answer 1 (Option B)
The formula is very simple

Answer 2 (Option C)
Let Manish and Sohan's together work = T days = 12 days
Let Sohan's alone work = a days = 28 days
In order to find the work of Manish, apply the simple formula given below:
Answer 3 (Option C)

Answer 4 (Option B)
Answer 5 (Option A) 

Answer 6 (Option D)
Ratio of times taken by Aamer and Baasha = 160 : 100 = 8 : 5
Suppose Baasha alone takes x days to do the job.
Then, 8 : 5 :: 12 : x → 8x = 5 × 12
x = 7 (1/2) days

Answer 7 (Option C)

Answer 8 (Option B)
Answer 9 (Option C)
Answer 10 (Option A)

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